论文标题

与烈语香草的对冲外来的食谱

Recipes for hedging exotics with illiquid vanillas

论文作者

Fernandez-Tapia, Joaquin, Guéant, Olivier

论文摘要

在本文中,我们解决了与香草期权交易相关的执行费用时,最佳的三角洲和Vega对冲的问题。在一个框架中,使用市场模型定价异国情调的选项(例如,局部波动率模型连续重新校准了香草期权价格的价格),而香草期权价格的价格由随机波动率模型驱动,我们表明,使用简单的近似值,最佳的动态Delta和Vega Hedging策略可以轻松地使用变异技术计算。

In this paper, we address the question of the optimal Delta and Vega hedging of a book of exotic options when there are execution costs associated with the trading of vanilla options. In a framework where exotic options are priced using a market model (e.g. a local volatility model recalibrated continuously to vanilla option prices) and vanilla options prices are driven by a stochastic volatility model, we show that, using simple approximations, the optimal dynamic Delta and Vega hedging strategies can be computed easily using variational techniques.

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